Probability On Graphs: Random Processes On Graphs And Lattices 2Nd Edition

Grimmett, Geoffrey

ISBN 10: 1108438172 / ISBN 13: 9781108438179

Published by Cambridge University Press, 2018

About this Item

pp. 276. Seller Inventory # 18375761845

Bibliographic Details

Title: Probability On Graphs: Random Processes On ...

Publisher: Cambridge University Press

Publication Date: 2018

Binding: Soft cover

Condition: New

Edition: 2nd Edition

About this title

Synopsis:

This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

Book Description:

This text introduces disordered physical systems, an active and important area at the interface of probability and physics. It features user-friendly accounts of basic processes, recent research of significance, and open problems and areas worthy of further research, including new statements and proofs developed since the first edition.